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On The Full Rationality Of Fuzzy Choice Functions On Base Domain


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  • S. S. DESAI

    (Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur (M.S.)-416004, India)


    (Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur (M.S.)-416004, India)

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    The aim of this paper is to discuss the full rationality of fuzzy choice functions defined on base domain. For this purpose, we introduce weak fuzzy T-congruence axiom. We characterize full rationality of fuzzy choice functions in terms of this axiom and the fuzzy Chernoff axiom. Also, we prove that G-rational fuzzy choice functions with transitive rationalizations satisfying fuzzy Chernoff axiom characterizes their full rationality.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

    Volume (Year): 08 (2012)
    Issue (Month): 02 ()
    Pages: 183-193

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    Handle: RePEc:wsi:nmncxx:v:08:y:2012:i:02:p:183-193

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    Keywords: Fuzzy choice functions; full rationality; weak fuzzy T-congruence axiom; fuzzy Chernoff axiom; 62C86; 91B14; 91B08;

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